The time difference between the arrival of the sound at the two friends is 27.4 milliseconds
In getting the difference between the arrival of the sound at the two friends, we first find the following:
Speed of sound at [tex]26.1^{o} C[/tex](v1):
[tex]v1=331*\sqrt{\frac{26.1+273K}{273K} }[/tex]
v1=346.5m/s
Speed of sound at [tex]-22.2^{o} C[/tex](v2):
[tex]v2=331*\sqrt{\frac{-22.2+273K}{273K} }[/tex]
v2=317.3m/s
The time difference:
Change in time, Δt=(d/v2)-(d/v1), where d=103m
Change in time=(103/317.3)-(103/346.5)
Δt=27.4ms
Change in time=27.4milliseconds
The question was incomplete, complete question is given below:
If the air inside the warehouse is at a warm 26.1*C while the outside air is a chilly -22.2*C, and each friend is standing 103 meters from the person in the doorway, then what is the time difference between the arrival of the sound at the two friends? Give your answer as a positive value in milliseconds
Learn more about motions here:
https://brainly.com/question/19655501
#SPJ4
At a gas is in a container with a constant temperature pressure change cause the volume to decrease based on the relationship between pressure and volume what must happen to the pressure
At constant temperature pressure is inversely proportional to volume, so pressure will increase.
What is temperature and pressure and the relation?Temperature is the measure of degree of hotness and degree of coldness.Pressure is force per unit area and is inversely proportional to volume at constant temperature.Here the gas in a container is at constant temperature and also at constant pressure.So the pressure will increase because the volume is decreasing .Though at constant temperature the pressure of the gas is directly proportional to mole of the gas.But that's not significant here , at constant temperature pressure goes in inverse relation to volume.To know more about pressure visit:
https://brainly.com/question/5018408
#SPJ13
what's the answer to this question?
Answer:
Energy
Explanation:
Some of the suns energy is converted into wind and water waves
NEED HELP URGENTLY FOR 10 POINTS
Answer:
Option 2
Explanation:
This is the definition of the plum-pudding model.
two ice skaters stand facing each other at rest on a frozen pond. they push off against one another and the 61 kg skater acquires a speed of 0.75 m/s. if the other skater acquires a speed of 0.89 m/s, what is her mass in kilograms?
The mass of the other skater who is pushed is 51.4 kilograms.
According to the law of conservation of momentum,
The total linear momentum is always conserved in a system if no external force is applied.
So. we can write,
Initial momentum = final momentum
Initial momentum is zero as both the skater are at rest.
So, Final momentum should be 0,
Final momentum = 0
M₁V₁ + M₂V₂ = 0
M₁ is the mass of first skater,
V₁ is the final speed of the first skater,
M₂ is the mass of the second skater,
V₂ is the final speed of the second skater, V₂ will taken as negative because the second skater is pushed into opposite direction,
Putting all the values,
61(0.75) = -M₂(-0.89)
M₂ = 51.4 Kg.
So, the mass of the skater is 51.4 kg.
To know more about Linear momentum, visit,
https://brainly.com/question/7538238
#SPJ4
PLEASE HELP!!! WILL MARK BRAINLIEST
The environmental impact of the changes in the amount of energy resources is reduction in air pollution.
What are energy resources?Energy resources are the materials that can act as sources of energy which is grouped into two namely:
Renewable energy resources: These are energy resources that can easily be replaced by nature. A typical example is the solar energy.Non renewable energy resources: These are energy resources that cannot easily be replaced by nature. Examples include coal, nuclear and gas.From the given figures,
In 2014 renewable energy = 19%; while in 2015 it is = 25%
In 2014 non renewable energy when added = 79%; while in 2015 it is = 73%
This shows that there was reduction in the use of non renewable energy from 2014 to 2015 by 6%.
This would affect the environment positively as there would be reduction in air pollution caused by non renewable energy resources.
Learn more about energy resources here:
https://brainly.com/question/26289235
#SPJ1
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in ____________ twitches per stimulus.
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in identical twitches twitches per stimulus.
Alpha motor neurons are the motor neurons that innervate the fibers of the skeletal muscle. A number of branches, each innervating a different muscle fiber, are formed as the alpha motor neuron enters the muscle. A motor unit is made up of one alpha motor neuron and all of the muscle fibers it innervates. Small motor units with 3-5 muscle fibers per motor neuron are found in muscles that are involved in delicate, coordinated control. Our hand and eye muscles, as well as those that control eye movement, have very small motor units.
learn more about contractions here :
https://brainly.com/question/984979
#SPJ4
an electron of mass 9.11 3 10231 kg has an m initial speed of 3.00 3 105 m/s. it travels in a straight line, and its speed increases to 7.00 3 105 m/s in a dis- tance of 5.00 cm. assuming its acceleration is constant, (a) determine the magnitude of the force exerted on the electron and (b) c
a. The magnitude of the force exerted on the electron F = 3.64*10^-18N
b. The force F is 4.08*10^11 times the weight of the electron
a. In order to calculate the magnitude of the force exerted on the electron you first calculate the acceleration of the electron, by using the following formula:
v: final speed of the electron = 7.00*10^5 m/s
vo: initial speed of the electron = 3.00*10^5 m/s
a: acceleration of the electron = ?
x: distance traveled by the electron with certain speed= 5.0cm = 0.05m
you solve the equation (2) for a and replace the values of the parameters:
[tex]a=v^{2} - V^{2} /2x[/tex]
a=4×10^12 m/s²
to calculate the force we now use the second Newton law :
F=ma
m: mass of the electron = 9.11*10^-31kg
F=3.64*10^-18N
The magnitude of the force exerted on the electron is 3.64*10^-18N
b. given weight of electron is :
Fg=mg
Fg = 8.92*10^-30N
The Division between the force electron and the weight of the electron F is:
F/Fg=4.08*10^11
The force F is 4.08*10^11 times the weight of the electron
Learn more about force here:
https://brainly.com/question/13191643
#SPJ4
A 750 resistor in a circuit has a current flowing through it of 2.0 A. What is
the power dissipated by the resistor? (Use P=OVI = /²R= VR)
OA. 300 W
B. 150 W
C. 38 W
D. 450 W
The power dissipated by the resistor is 3000W.
What is power?Electrical power, or (P), in a circuit is a unit of measurement for the rate at which energy is consumed or produced inside a circuit. The energy produced or delivered by an energy source, such as a voltage, is absorbed by the associated load.
In physics, power is referred to as the rate of energy conversion or transfer over time. The unit of power in the SI system, often known as the International System of Units, is the Watt (W). A single joule per second is one watt. Power was formerly referred to as activity in some research. A scalar quantity is power.
The resistor's power dissipation can be computed as P = I²R
here ,
I = 2 A
R = 750
Therefore P= 2² x 750 W
= 3000W
To learn more about electrical power click on the link below:
https://brainly.com/question/13080026
#SPJ9
When engineers consider the forces that can act on a structure, they must think about all parts of the structure. Describe three different places on a bridge that would experience very different forces.
Any bridge is subject to three different types of forces: the dead load, the live load, and the dynamic load. The weight of the bridge itself is discussed in the first of these words.
What are the 4 different types of forces?Any of the four fundamental forces in physics—gravitational, electromagnetic, strong, and weak—that control how objects or particles interact as well as how some particles decay—is referred to as a fundamental force, also known as a fundamental interaction.
What primary force is acting on the bridge?Compression and tension are the two main forces that are ever-present on a bridge. A force that compresses or shortens the object it is acting on is known as a compressive force. A force known as tension or tensile force works to stretch or expand the object it is acting on.
To know more about Force visit:
https://brainly.com/question/13191643
#SPJ13
One tank of goldfish is fed fish food once a day. A second tank is fed twice a day, and a third tank is fed food four times a day during a six week study. The weight of each fish is recorded daily.
The dependent variable in the experiment in which the weight of each fish is recorded daily is the fish' weight.
A dependent variable is the variable that cannot be controlled in an experiment. An independent variable is the controllable variable/factor in an experiment.
In this experiment, the amount of food fed and how often the food fed can be controlled. The fat gained by the fish and the weight of fish cannot be controlled.
Therefore, in this experiment the dependent variable is weight of fish.
To know more about dependent variable
https://brainly.com/question/1479694
#SPJ1
a gun with a muzzle velocity of 100 m/s is fired horizontally from a tower. neglecting air resistance, how far will the bullet fall 1 second later (vertical distance) ? * 1 point a) 5 m b) 50 m c) 100 m d) 490 m e) none of these
option c A gun is fired horizontally from a tower with a muzzle velocity of 100 m/s. The bullet will arrive 100m away and arrive 1 second late if air resistance is ignored.
That is not to argue that there isn't a velocity increase. It absolutely depends on the specific firearm, cartridge, and loading in question. The reason for an increase in velocity is that the pressures are slightly higher, which causes the bullet to move less before engaging the rifling.
However, a significant improvement in accuracy is what many handloads will discover. A smaller distance to the rifling reduces the possibility of any bullet tipping and the variation in breech pressures that exists between different rounds. From round to round, slightly variable pressures can and will be produced even with equal powder loads, down to less than 1/10th of a grain. It's a simple reality.
Learn more about velocity here:
https://brainly.com/question/28738284
#SPJ4
a 40.0-kg child and an 8.40-kg sled are on the surface of an icy lake 15.0 meters apart. the child exerts a 5.20 n force on the sled towards them via a rope they’ve attached.
Acceleration of the sled is 0.62m/s^2
Acceleration of the child is 0.13m/s^2
They met at 2.6m from the child's initial position
The question is incomplete, the complete question is given below:
a 40.0-kg child and an 8.40-kg sled are on the surface of an icy lake 15.0 meters apart. the child exerts a 5.20 n force on the sled towards them via a rope they’ve attached.(a) What is the acceleration of the sled? m/s2(b) What is the acceleration of the child? m/s2(c) How far from the child's initial position do they meet? m
Part a
Acceleration of the sled:
Mass of sled=8.40kg
Force=5.20N
Acceleration=F/m
=5.2/8.4
=0.62m/s^2
Part b
Acceleration of the child
Mass of the child=40kg
Force=5.20N
Acceleration=F/m
=5.2/40
=0.13m/s^2
Part c
Distance from the child's initial position they met
They accelerate towards each other at =0.62+0.13
=0.75m/s^2
The time to meet is given by:
We use kinematic equation to find this,
s=ut+1/2at^2
u=0m/s^2
a=0.75m/s^2
s=15m
t=?
15 =0*t+ (1/2) (0.75) t^2
15=(1/2)*0.75t^2
t=6.32 sec
The child moves:
s=ut+1/2at^2, u=0, a=0.13, t=6.32
=(1/2) (0.13) 6.32^2
=2.6m
Hence they met at 2.6m from the child's original position
Learn more about kinematics equations here:
https://brainly.com/question/28152546
#SPJ4
18. How might the cycling of matter in Earth’s atmosphere be related to to the movement of dust from the Sahara desert to the Amazon?
This is Science
The cycling of matter in Earth’s atmosphere is related to the movement of dust from the Sahara desert to the Amazon because the biosphere is a major ecosystem that connects all ecosystems around the world.
What are ecosystems?The ecosystems are specific geographic regions in which biotic factors (life) and abiotic factors (e.g. dust) interrelate to shape the environmental condition of the area, while the term biosphere makes reference to a major ecosystem that connects all these region in the world.
Therefore, we can conclude that ecosystems are interconnected to shape the biosphere, thereby the phenomena that occur in Sahara desert are able to modify the conditions in a Forest like Amazon.
Learn more about ecosystems and biosphere here:
https://brainly.com/question/605396
#SPJ1
Which of the following statements is most true regarding the use of testimony on hair samples in courts today?
We may not consider the use of hair samples today because DNA analysis is more modern.
What is DNA?The term DNA refers to the molecule that contains the genetic material of the living things. Hence, we could use the DNA sample to be able to solve very difficult cases. This is because the DNA sample can be able to tell the exact identity of the person that involved,
Before the advent of the DNA, the hair sample was one of the very reliable ways be which evidence could be gathered to solve crimes. Hence; Modern DNA analyses have made testimony using hair samples obsolete.
Learn more about DNA:https://brainly.com/question/264225
#SPJ1
Missing parts;
Which of the following statements is most true regarding the use of testimony on hair samples in courts today?
Hair samples are replacing DNA as an easily available, go-to source for identifying suspects
Modern changes in the discipline mean that any police officer can provide testimony on hair samples
Modern DNA analyses have made testimony using hair samples obsolete
There’s solid research that should lead us to be skeptical of testimony based on hair samples
A man pulls a crate with a rope. The crate slides along the floor in the horizontal direction (x direction). The man exerts a force of 50 N on the rope, and the rope is at an angle . Describe how the force components change as the angle increases from 0° to 90° and use your graph to explain your answer. Give a detailed explanation of the forces at . Show a sample calculation at one angle for both components.
The 50 N force applied at an angle to the crate may be broken down into horizontal and vertical force components. As the angle created by the rope, e, increases from 0° to 90°, the horizontal component, Fx, drops and the vertical force component, Fy, increases.
What is a component of a force ?The components of a force are the force parts acting in perpendicular directions, horizontal and vertical, that combine to give the specified force.
The direction the crate is sliding = The horizontal, x-direction
The force exerted by the man = 50 N
The angle of the rope
The components of the force are therefore:
Horizontal component, Fx = 50 × cos(8)
Vertical component, F₁ = 50 x sin(0)
The value of cos(e) and sin(e) as the angle the rope makes with the horizontal,
e, increases from 0° to 90° are as follows:
Therefore, the horizontal component of the force exerted by the man, Fx has a maximum value at = 0, and decreases to 0, as increases from 0° to 90°.
The vertical component of the force exerted, Fy, has a minimum value of O at → = 0°, and the value of sin(e) and therefore Fy, increases to a maximum of (sin(90°) 1) 50 N as increases to 90°.
Please find attached the graph showing the components of the force, Fx, and Fy, exerted by the man as the angle formed by the rope increases from 0° to 90°
Learn more Resolution of force here:
https://brainly.in/question/31565885
#SPJ4
we will explore more this equation. we need to solve this for all masses! you should recognize now that this system of linear equations can be written in a matrix form. we will define the variable
The coefficients of the variables in each equation can be arranged in a row to create the coefficient matrix. A constant term should always be written on the right in standard form for each equation.
A coefficient matrix, a variable matrix, and a constant matrix can all be used to describe a system of linear equations in matrix form.
Think about the system,
2x+3y=8
5x−y=−2
X and Y are the variables that we have. As a result, the variable matrix can be written as [xy].
The constant terms from the equations, 8 and 2, are on the right side of the equivalence. The first and second rows of the constant matrix are occupied by the two integers in that order since they are the ones that correspond to the first and second equations. The matrix then takes the form [82].
The system is now represented by the equation [2531] [xy] = [82].
Now, the system is denoted as [2531] [xy]=[82].
You can see that the matrix representation is identical to the system of equations using matrix multiplication.
To know more about matrix click on the link:
https://brainly.com/question/11348768
#SPJ4
A medium-sized jet has a 3. 8-m-diameter fuselage and a loaded mass of 85,000 kg. The drag on an airplane is primarily due to the cylindrical fuselage, and aerodynamic shaping gives it a drag coefficient of 0. 37.
To travel at 230 m/s at an altitude where the air density is 1.0 kg/m3, the jet's engines must deliver 111kN of thrust.
Air Density is defined as the mass of an object, including air, divided by its volume.
Scientists measure density in terms of kilogrammes per cubic metre when using the metric system.
The density of the air is influenced by its temperature, pressure, and water vapour content. We'll discuss dry air initially, so just temperature and pressure will be a concern.
In addition to a fundamental explanation of air density, we will go into how humans are affected by decreased air density, such as that experienced at high altitudes, how humidity influences air density in unexpected ways, and how air density affects things like aircraft, baseballs, and even racing automobiles.
The density of the air in a free environment drops as temperature increases.
Learn more about air density here:
https://brainly.com/question/3551743
#SPJ4
imagine another solar system, with a star of the same mass as the sun. suppose a planet with a mass twice that of earth (2mearth) orbits at a distance of 1 au from the star. what is the orbital period of this planet? view available hint(s)for part a imagine another solar system, with a star of the same mass as the sun. suppose a planet with a mass twice that of earth (2mearth) orbits at a distance of 1 au from the star. what is the orbital period of this planet? 2 years it cannot be determined from the information given. 6 months 1 year
1year is the orbital period of this planet.
The orbital period is the quantity of time a given astronomical object takes to complete one orbit around every other object. In astronomy, it generally applies to planets or asteroids orbiting the solar, moons orbiting planets, exoplanets orbiting different stars, or binary stars.
Kepler's third law - indicates the relationship among the length of an items orbit and the common distance that it's far from the issue it orbits. this could be used for something clearly orbiting round another factor.
Entire revolution is known as the orbital duration. At 200 km that is approximately ninety minutes. The orbital duration will increase with altitude for two motives. First, as the altitude increases, Earth's gravity decreases, so the orbital speed had to stability it decreases.
Learn more about orbital period here:- https://brainly.com/question/27063414
#SPJ1
a conductor consists of an infinite number of adjacent wires, each infinitely long and carrying a current i (whose direction is out-ofthe-page), thus forming a conducting plane.
The important Physics chapter "Conductors and Dielectrics in an Electric Field" focuses on the electric field and its interactions with different kinds of materials, such as conductors and dielectrics.
The significance of its components in the electrical circuit is explained in Conductors and Dielectrics in an Electric Field. is a crucial resource component that all students require in order to succeed in the Class 12 Physics exams and admission exams. It is one of the greatest ways to prepare for physics exams and practice problems in order to get good marks. Here, the questions are primarily centered on electric field, current, speed, voltage, and other related concepts.
In-depth explanations are provided for the behavior of conductors and dielectrics. The issues help to strengthen the applicability of the theoretical ideas in daily life and activities.
For clear knowledge and a firm grasp of the syllabus and concept, students aiming for a good mark in a competitive examination must solve every issue provided.
Based on each and every formula, equation, and procedure, there are a variety of difficulties that can be accessed. Each problem's solution is broken down into logical steps and supported with relevant data, formulas, graphs, and equations. All questions based on conductors and dielectrics are readily available to students. This aids in conceptual clarity and full knowledge for kids.
To know more about conductors click on the link:
https://brainly.com/question/8426444
#SPJ4
A BALL Is released from a hight of 20m calculate the time it taken to fall. The velocity with it hits the ground
A ball is released from a certain height of 20m then the time taken by the ball to fall is 2 sec and the velocity is 20m/s
Here: s (height) = h =20
a=g=±10m/s
a=10m/s (since it is dropped)
[tex]v^{2} -u^{2} =2as\\v^{2} =2*10*10\\v^{2}= 200[/tex]
(u=0; it is dropped not thrown)
v=20m/s
for calculating time we know,
v=u+at
20= 0+ 10xt
t=20/10
t=2seconds
Learn more about velocity visit: https://brainly.com/question/25749514
#SPJ4
a ball of mass m collides completely inelastically in one dimension with another ball of mass 3m that is initially at rest (the balls stick together after the collision). what fraction of the initial kinetic energy is lost in the collision
Fraction of the initial kinetic energy is lost in the collision f = 3/4.
Two balls of masses M and 3M kinetic energy
Initially before collision:
Speed of ball of mass M = −V0 (Right direction is taken as negative)
Speed of ball of mass 3M = +V0
Finally after collision: Speed of ball of mass M = v
Speed of ball of mass 3M = V02
[tex]Finding the fraction(f) of initial kinetic energy lost in the collisionf=1−Final Kinetic EnergyInitial Kinetic Energyf=1−12×M×(v02)2+12×3M×(v02)212×M×(−v0)2+12×3M×(v0)2f=1−v024v02f=1−14=34[/tex]
Learn more about kinetic energy here:
https://brainly.com/question/999862
#SPJ4
9. A driver, driving a Bugatti Veyron, accelerates at 26.7 m/s² for 2.4 seconds. What change in
velocity did the driver experience?
The change in velocity experience by a driver, driving a Bugatti Veyron, accelerating at 26.7 m/s² for 2.4 seconds is 64.08 m/s.
What is chnage in velocity?Change in velocity is the difference between the final and the initial velocity of a body.
To calculate the change in velocity experienced by the driver, we use the formula below.
Formula:
Δv = at........... Equation 1Where:
Δv = Change in velocitya = Accelerationt = Time.From the question,
Given:
a = 26.7 m/s²t = 2.4 secondsSubstitute these values above into equation 1
Δv = 26.7×2.4Δv = 64.08 m/s.Hence, the change in velocity experienced by the driver is 64.08 m/s.
Learn more about change in velocity here:https://brainly.com/question/26246534
#SPJ1
a plane is flying horizontally with speed 198 m/s at a height of 3210 m above the ground, when the package is dropped from a plane. The acceleration of gravity is 9.8 m/s^2.
a second package is thrown downward from the plane with a vertical speed v1=78m/s. what is the magnitude of the total velocity of the package at the moment it is thrown as seen by an observer on the ground? answer in units of m/s.
The magnitude of the total velocity of the package at the moment it is thrown as seen by an observer on the ground is D = 193m/s 15.2s = 2934 m.
What is velocity ?
velocity is the prime indicator of the position as well as the rapidity of the object
Sol-
1. 0.5gt^2 = 2010 m.
4.9t^2 = 2010.
t = 20.3 s. = Fall time.
D = Xot. = 193m/s 20.3s = 3909 m.
2. V=sqrt(Xo^2+Yo^2)=sqrt(193^2+58^2) = 202 m/s.
3. Vot + 0.5gt^2 = 2010 m.
58t + 4.9t^2 = 2010.
4.9t^2 + 58t - 2010 = 0.
Use the quadratic formula we are get
t = 15.2 s. = Fall time
D = 193m/s 15.2s = 2934 m.
D = 193m/s 15.2s = 2934 m.
To know more about velocity click-
https://brainly.com/question/25749514
#SPJ9
which color is bent the least by prism
The red light is the least refracted by the prism.
How light is refracted by a prism?Each beam of light with a particular wavelength is slowed differently by the glass. Since violet light has a shorter prism wavelength, it is brake more than the longer wavelengths of red light. accordingly, violet light is bent the most while red light is bent prism the least. Prism on dispersion, the light rays with longer wavelengths bend less than ones with shorter wavelengths. Since red has the longest wavelength, it bends the least. prism Among the 7 constituent colors of light, violet light has the least wavelength and hence it deviates the most, and red light having the largest wavelength deviates the least. Hence, prism the required order is violet, indigo, blue, green, yellow, orange, and red.
So we can conclude that in a prism, the red light is less refracted.
Learn more about prism here: https://brainly.com/question/23963432
#SPJ1
Write a properly formatted hypothesis statement to answer this question: how does the amount of dissolved salt affect the boiling point of water? specify how you plan to change the independent variable by using terms such as increase or decrease. also, specify how the dependent variable will change in response by using terms such as increase, decrease, or stays the same.
The theory is that:
H0: The amount of salt added to ice has no bearing on how quickly it melts.
H1: The amount of salt added to ice will have an impact on how quickly it melts.
By altering the rate at which salt is introduced to the equation, the independent variable can be modified.
The ice, which is the dependent variable, will alter or melt in response because it will get smaller as the rate at which salt is injected rises.
The boiling point of water, or the temperature at which it may erupt, rises when salt is added to it. For every 58 grams of dissolved salt per kilogram of water, the temperature required to reach boiling rises by around 0.5 C. This is an illustration of an elevated boiling point, which is not just a property of water.
Learn more about hypothesis :
https://brainly.com/question/606806
#SPJ4
Newton's First Law
A lantern of mass m is suspended by a string that is tied to two other strings, as shown
in the figure below. The free-body diagram shows the forces exerted by the three
strings on the knot.
F₂
Fy
0₂
¥
F₁
1. In terms of F₁, F2, and F3, what is the net force acting on the knot?
(Hint: The lantern is in equilibrium.)
2. Find the magnitudes of the x and y components for each force acting on the knot.
(Assume the positive directions are to the right and up.)
String 1 (F₁)
x component
y component
String 2 (F₂)
x component
y component
String 3 (F3)
x component
y component
3. In terms of F1, F2, and F3, what is the magnitude of the net force acting on the
knot in the x direction? in the y direction?
Fx net=
Fynet
=
. Assume that 8₁ = 30°, ₂ = 60°, and the mass of the lantern is 2.1 kg. Find,
F1, F2 and F3.
F₁=
F₂=
F3 =
Answer:
1. If the knot is in equilibrium - no net force acts on the knot.
2. F1x = 0 F1y = -F1
F2x = -F2 cos θ1 F2y = F2 sin θ1
F3x = F3 cos θ2 F3 = sin θ2
3. Fx net = 0
Fy net = 0 for equilibrium to occur
4. F2 cos θ1 = F3 cos θ2
F1 = M g = 2.1 * 9.8 = 20.6 N
F2 sin 30 + F3 sin 60 = 20.6 balancing forces in y-direction
or .5 F2 + .866 F3 = 20.6 (use this equation below ) (I)
F2 cos 30 = F3 cos 60 as stated above
.866 F2 = .5 F3 or F3 = 1.732 F2 substituting for θ
.5 F2 + .866 (1.732 F2) = 20.6 using (I) above
2.0 F2 = 20.6 and
F2 = 10.3 N
F3 = 1.732 * 10.3 = 17.8 N
Check:
10.3 * .866 = .5 * 17.8 using values above
8.92 = 8.9 forces balance
Also .5 * 10.3 + .866 (1.732 * 10.3) = 20.6
Help! A car is traveling at 60 km/h. It accelerates to 85km/h in 5 seconds. What is the acceleration of the car?
A Car is travelling at a speed of 60 km/h and then accelerates to the velocity 85 km/h than acceleration in 5 sec is given by 18000 km/h² .
What is acceleration?Acceleration of body is defined as rate of change of the velocity with respect to the time. Acceleration is a vector quantity it have magnitude as well as direction.
Acceleration = (final velocity - initial velocity )/ time
Acceleration = change in velocity / change in time
Given that in the question that the velocity changes from 60 km/h to 85 km/h in 5 sec =( 0.00138 h ) then the acceleration of the car is given as,
Acceleration of the car = (60 - 85)/0.00138
Acceleration of the car = 18000 km/h²
Acceleration of the car travelling with the velocity 60 km/h to final the velocity 85 km/h in time 5 sec is given by 18000 km/h².
To learn more about the acceleration refer to the link brainly.com/question/12550364
#SPJ1
A charge of 15C has flowed past a point in the circuit with a current of 2A. How long has this charge been flowing through this circuit?
Round the answer to 2 decimal places.
The charge of 15 Chas been flowing through a circuit with current of 2 A for a time period of 7.5 s
Q = I t
Q = Electric charge
I = Electric Current
t = Time
Q = 15 C
I = 2 A
t = Q / I
t = 15 / 2
t = 7.5 s
Electric current is the rate of flow of charge. In a circuit the current always flows from the negative terminal to the positive terminal. Its unit is Ampere ( A ) which is C / s.
To know more about Electric current
https://brainly.com/question/2264542
#SPJ1
a typical insulation resistance of equipment rated 480v is . select one: a. 10 m ohms b. 50 megohms c. 100 megohms d. 1,000 megohms
All different kinds of electrical wires and cables are routinely tested by measuring insulation resistance. This test is frequently used as a customer acceptance test in production settings.
This test is frequently used as a customer acceptance test in production settings, with the customer frequently defining the minimum insulation resistance per unit length.
In contrast to a real HIPOT test, the results of the IR Test are meant to provide information on the quality of the bulk insulation material rather than being helpful in identifying specific insulation flaws.
Many wire and cable manufacturers use the insulation resistance test to track their insulation manufacturing processes and identify emerging issues before process variables stray outside of permitted limits, even when it is not needed by the end customer.
To know more about insulation click on the link:
https://brainly.com/question/14363642
#SPJ4
a plane circular coil of radius 0.77 m lies in a horizontal plane. it carries a current of 4.38 a. the coil is in a uniform horizontal 1.157-t magnetic field. what is the magnitude of the magnetic torque on the coil? calculate the torque in the units of n.m. write your answer in decimal form with three digits to the right of the decimal point (e.g. 5.374); do not write any units.
The magnitude of the magnetic torque on the coil is 9.435 Nm.
A magnetic field exerts a torque that tries to align the normal vector of a loop of current with the magnetic subject. the size of the torque on a loop
The magnetic torque, τ, skilled by using a unmarried particle of quantity V and domain magnetization Md whose moment is oriented at attitude θ to carried out induction B is given by means of τ=mHsinθ where m=MdV is the magnetic second of the particle.
This is the torque on a modern-wearing loop in a uniform magnetic field. This equation can be proven to be valid for a loop of any form. The loop includes a modern I, has N turns, every of area A and the perpendicular to the loop makes an angle θ with the field B.
Calculation:-
τ = μ×B
= I A B sin90°
= 4.38 × 3.14×(0.77)²× 1.157
= 9.435 N m.
Learn more about magnetic torque here:-https://brainly.com/question/6585693
#SPJ4